What is the derivative of (-5x-9/(2x+8)) ?

The derivative of (-5x-9/(2x+8)) is -(11)/(2(x+4)^2)

What is the first derivative of (-5x-9/(2x+8)) ?

The first derivative of (-5x-9/(2x+8)) is -(11)/(2(x+4)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{- 5 x - 9}{2 x + 8})

- \frac{11}{2 ( x + 4 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{- 5 x - 9}{2 x + 8})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( - 5 x - 9 ) ( 2 x + 8 ) - \frac{d}{d x} ( 2 x + 8 ) ( - 5 x - 9 )}{( 2 x + 8 ) ^{2}}

\frac{d}{d x} (- 5 x - 9) = - 5

\frac{d}{d x} (2 x + 8) = 2

= \frac{( - 5 ) ( 2 x + 8 ) - 2 ( - 5 x - 9 )}{( 2 x + 8 ) ^{2}}

Simplify

\frac{( - 5 ) ( 2 x + 8 ) - 2 ( - 5 x - 9 )}{( 2 x + 8 ) ^{2}} : - \frac{11}{2 ( x + 4 ) ^{2}}

= - \frac{11}{2 ( x + 4 ) ^{2}}

2.5 x^{3} - 3 x {2}

y = x^{3} - 9 x

\int - \frac{1}{x} d x

\int 2 x (x^{2} + 3)^{5} d x

\frac{\partial}{\partial x} (x^{2} + y^{3})

What is the derivative of (-5x-9/(2x+8)) ?
The derivative of (-5x-9/(2x+8)) is -(11)/(2(x+4)^2)
What is the first derivative of (-5x-9/(2x+8)) ?
The first derivative of (-5x-9/(2x+8)) is -(11)/(2(x+4)^2)